## 2012.29: K-theory and the connection index

2012.29:
Tayyab Kamran and Roger Plymen
(2012)
*K-theory and the connection index.*

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## Abstract

Let G denote a split simply connected almost simple p-adic group. The classical example is the special linear group SL(n). We study the K-theory of the unramified unitary principal series of G and prove that the rank of K_0 is the connection index f(G). We relate this result to a recent refinement of the Baum-Connes conjecture, and show explicitly how generators of K_0 contribute to the K-theory of the Iwahori C*-algebra.

Item Type: | MIMS Preprint |
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Uncontrolled Keywords: | Local field, p-adic group, connection index, K-theory |

Subjects: | MSC 2000 > 19 K-theory MSC 2000 > 22 Topological groups, Lie groups |

MIMS number: | 2012.29 |

Deposited By: | Professor Roger Plymen |

Deposited On: | 19 February 2012 |

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